This is a quote that I use a lot (and keep on repeating) during off-road training. Always have your thumbs on the wheel during off-road driving. When you hit a rock or tree stump with a wheel, the steering wheel can be ‘hit’ out of your hands and can break your thumbs when they are in there. Also more steering control this way.
The follow through part is all about finishing what you started. Once you assessed the situation on how to conqueror an obstacle and make your move: just stick with it! Too many people stop during a planned move, which can create a dangerous situation (sliding, rolling over and so on).